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<p>&#x6807;&#x7B7E;&#xFF08;&#x7A7A;&#x683C;&#x5206;&#x9694;&#xFF09;&#xFF1A; Java-Base &#x6570;&#x636E;&#x7ED3;&#x6784;&#x4E0E;&#x7B97;&#x6CD5;</p>
<hr>
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<li>&#x4E8C;&#x5206;&#x6CD5;&#x63D2;&#x5165;&#x6392;&#x5E8F;</li>
<li>&#x5E0C;&#x5C14;&#x6392;&#x5E8F;</li>
</ol>
<hr>
<h2 id="&#x76F4;&#x63A5;&#x63D2;&#x5165;&#x6392;&#x5E8F;">&#x76F4;&#x63A5;&#x63D2;&#x5165;&#x6392;&#x5E8F;</h2>
<p><strong>&#x64CD;&#x4F5C;</strong>&#xFF1A;&#x6BCF;&#x6B65;&#x5C06;&#x4E00;&#x4E2A;&#x5F85;&#x6392;&#x5E8F;&#x7684;&#x8BB0;&#x5F55;&#xFF0C;&#x6309;&#x5176;&#x987A;&#x5E8F;&#x7801;&#x5927;&#x5C0F;&#x63D2;&#x5165;&#x5230;&#x524D;&#x9762;&#x5DF2;&#x7ECF;&#x6392;&#x5E8F;&#x7684;&#x5B57;&#x5E8F;&#x5217;&#x7684;&#x5408;&#x9002;&#x4F4D;&#x7F6E;&#xFF0C;&#x76F4;&#x5230;&#x5168;&#x90E8;&#x63D2;&#x5165;&#x6392;&#x5E8F;&#x5B8C;&#x4E3A;&#x6B62;&#x3002;</p>
<blockquote>
<p>&#x4F8B;&#x5982;&#xFF1A;
array = <code>[1,3,5,7,9,4,8]</code>&#xFF0C;&#x5DF2;&#x6392;&#x5E8F;&#x533A;&#x5757;&#x662F;<code>[1,3,5,7,9]</code>&#xFF0C;&#x5F85;&#x6392;&#x5E8F;&#x5143;&#x7D20;&#x662F;<code>4</code>
<code>4</code>&#x4E0E;<code>1</code>&#x6BD4;&#x8F83;&#xFF0C;&#x7ED3;&#x679C;&#x4E0D;&#x53D8;&#xFF1A;<code>[1,3,5,7,9,4]</code>
<code>4</code>&#x4E0E;<code>3</code>&#x6BD4;&#x8F83;&#xFF0C;&#x7ED3;&#x679C;&#x4E0D;&#x53D8;&#xFF1A;<code>[1,3,5,7,9,4]</code>
<code>4</code>&#x4E0E;<code>5</code>&#x6BD4;&#x8F83;&#xFF0C;&#x63D2;&#x5165;&#x5230;<code>5</code>&#x4F4D;&#x7F6E;&#xFF1A;<code>[1,3,4,5,7,9]</code></p>
</blockquote>
<p><strong>&#x6392;&#x5E8F;&#x7A33;&#x5B9A;</strong>&#xFF1A;&#x662F;&#x3002;&#x5F53;&#x6BD4;&#x8F83;&#x5143;&#x7D20;&#x76F8;&#x7B49;&#x65F6;&#xFF0C;&#x53F3;&#x5143;&#x7D20;&#x63D2;&#x5165;&#x5230;&#x5DE6;&#x5143;&#x7D20;&#x53F3;&#x65B9;&#xFF0C;&#x53EF;&#x4FDD;&#x6301;&#x7A33;&#x5B9A;&#x3002;</p>
<h2 id="&#x4E8C;&#x5206;&#x6CD5;&#x63D2;&#x5165;&#x6392;&#x5E8F;">&#x4E8C;&#x5206;&#x6CD5;&#x63D2;&#x5165;&#x6392;&#x5E8F;</h2>
<p>&#x4E8C;&#x5206;&#x6CD5;&#x63D2;&#x5165;&#x6392;&#x5E8F; , &#x5373;&#x67E5;&#x627E;&#x63D2;&#x5165;&#x70B9;&#x7684;&#x4F4D;&#x7F6E;, &#x53EF;&#x4EE5;&#x4F7F;&#x7528; &#x6298;&#x534A;&#x67E5;&#x627E; .</p>
<p>&#x8FD9;&#x6837;&#x53EF;&#x4EE5; &#x51CF;&#x5C11;&#x6BD4;&#x8F83; &#x7684;&#x6B21;&#x6570;, &#x79FB;&#x52A8;&#x7684;&#x6B21;&#x6570; &#x4E0D;&#x53D8;, </p>
<p>&#x65F6;&#x95F4;&#x590D;&#x6742;&#x5EA6;&#x4ECD;&#x4E3A; $$O(n^2)$$ ;</p>
<h3 id="jdk&#x5B9E;&#x73B0;&#x6E90;&#x7801;&#xFF1A;binarysort">JDK&#x5B9E;&#x73B0;&#x6E90;&#x7801;&#xFF1A;Binarysort</h3>
<p>JDK1.8&#x9ED8;&#x8BA4;&#x6392;&#x5E8F;&#x65B9;&#x5F0F;Timsort&#xFF0C;Binary Insertion Sort&#x662F;Timsort&#x7684;Run&#x6392;&#x5E8F;&#x65B9;&#x6CD5;&#x3002;Binarysort&#x5B9E;&#x73B0;&#x8981;&#x70B9;&#xFF1A;</p>
<p>1&#x3001; Binarysort&#x8981;&#x6C42;&#x9996;&#x5148;&#x627E;&#x51FA;&#x6570;&#x7EC4;&#xFF08;&#x6B64;&#x6570;&#x7EC4;&#x5373;&#x5206;&#x533A;&#xFF09;&#x4E2D;&#x4ECE;0&#x4F4D;&#x5F00;&#x59CB;&#x8FDE;&#x7EED;&#x5347;&#x5E8F;&#x533A;&#x5757;&#xFF0C;&#x53CA;&#x533A;&#x5757;&#x4E0B;&#x4E00;&#x4F4D;&#x5143;&#x7D20;pivot&#xFF1B;</p>
<blockquote>
<p>&#x4F8B;&#xFF1A;<code>[1,3,5,7,9,4,8]</code> &#x7684;&#x8D77;&#x59CB;&#x8FDE;&#x7EED;&#x5347;&#x5E8F;&#x533A;&#x5757;&#x662F; <code>[1,3,5,7,9]</code>&#xFF0C;&#x533A;&#x5757;&#x957F;&#x5EA6;&#x4E3A;5&#xFF0C;&#x5373;<strong>runLen</strong>&#xFF1B;pivot&#x662F;<code>4</code>&#xFF1B;</p>
</blockquote>
<p>2&#x3001; &#x901A;&#x8FC7;&#x4E8C;&#x5206;&#x6CD5;&#x6BD4;&#x8F83;pivot&#x4E0E;&#x533A;&#x5206;&#x5143;&#x7D20;&#x7684;&#x5347;&#x964D;&#x5E8F;&#x5173;&#x7CFB;&#xFF0C;&#x8BA1;&#x7B97;pivot&#x5728;&#x533A;&#x5757;&#x4E2D;&#x7684;&#x4F4D;&#x7F6E;&#xFF1B;&#x5E76;&#x63D2;&#x5165;&#x5230;&#x8BE5;&#x4F4D;&#x7F6E;&#xFF0C;&#x7EC4;&#x6210;&#x65B0;&#x7684;&#x533A;&#x5757;&#xFF1B;</p>
<blockquote>
<p>&#x4F8B;&#xFF1A;<code>4</code>&#x5728;&#x533A;&#x5757;&#x4E2D;<code>[1,3,5,7,9]</code>&#xFF0C;&#x5148;&#x6BD4;&#x8F83;<code>5 &gt; 4</code>&#xFF0C;&#x662F;&#x964D;&#x5E8F;&#xFF1B;&#x518D;&#x6BD4;&#x8F83;<code>3 &lt; 4</code>&#xFF0C;&#x662F;&#x5347;&#x5E8F;&#xFF0C;&#x786E;&#x8BA4;&#x4F4D;&#x7F6E;&#xFF0C;&#x901A;&#x8FC7;native&#x65B9;&#x6CD5;<code>System.arraycopy()</code>&#x63D2;&#x5165;&#x5230;&#x533A;&#x5757;&#x4E2D;&#xFF1B;</p>
</blockquote>
<p>3&#x3001; &#x518D;&#x8BA1;&#x7B97;&#x65B0;&#x533A;&#x5757;&#x4E0E;&#x65B0;pivot&#x7684;&#x4F4D;&#x7F6E;&#x5173;&#x7CFB;&#xFF0C;&#x76F4;&#x5230;&#x5B8C;&#x6210;&#x6392;&#x5E8F;</p>
<p>4&#x3001; &#x6CE8;&#x610F;&#xFF1A;&#x4EE5;&#x4E0A;&#x5347;&#x5E8F;&#x7684;&#x5B9A;&#x4E49;&#x662F;<code>Comparator.compare(&#x53F3;&#x5143;&#x7D20;, &#x5DE6;&#x5143;&#x7D20;) &gt;= 0</code>&#xFF0C;&#x53CD;&#x4E4B;&#x4E3A;&#x964D;&#x5E8F;&#xFF1B;&#x975E;&#x6570;&#x503C;&#x4E0A;&#x7684;&#x5347;&#x964D;&#x5E8F;&#x3002;</p>
<p>&#x6E90;&#x7801;&#xFF1A;</p>
<pre><code class="lang-java"><span class="hljs-comment">/**
 * &#x4E8C;&#x5206;&#x6CD5;&#x63D2;&#x5165;&#x6392;&#x5E8F;
 * &#x6392;&#x5E8F;&#x7ED3;&#x679C;&#x4E3A;&#x5347;&#x5E8F;&#xFF0C;Comparator.compare(&#x53F3;, &#x5DE6;) &gt;= 0
 * &#x4F8B;&#x5982;&#xFF1A;&#x5047;&#x8BBE;&#x76EE;&#x6807;&#x6570;&#x7EC4;a&#x957F;&#x5EA6;&#x4E3A;10&#xFF0C;&#x6570;&#x7EC4;&#x5934;3&#x4F4D;&#x5DF2;&#x7ECF;&#x6392;&#x597D;&#x5347;&#x5E8F;&#xFF0C;&#x6240;&#x4EE5;
 * lo = 0
 * hi = 9 + 1
 * start = 3 &#xFF08;0 1 2&#x4F4D;&#x5DF2;&#x6392;&#x5E8F;&#xFF0C;&#x4ECE;&#x7B2C;3&#x4F4D;&#x5F00;&#x59CB;&#x8BA1;&#x7B97;&#xFF09;
 * <span class="hljs-doctag">@param</span> a &#x76EE;&#x6807;&#x6570;&#x7EC4;
 * <span class="hljs-doctag">@param</span> lo &#x6307;&#x5B9A;&#x6392;&#x5E8F;&#x8303;&#x56F4;&#x9996;&#x4E2A;&#x5143;&#x7D20;&#x4F4D;&#x7F6E;
 * <span class="hljs-doctag">@param</span> hi &#x6307;&#x5B9A;&#x6392;&#x5E8F;&#x8303;&#x56F4;&#x6700;&#x540E;&#x5143;&#x7D20;&#x4F4D;&#x7F6E; + 1
 * <span class="hljs-doctag">@param</span> start &#x4ECE;start&#x4F4D;&#x7F6E;&#x5F00;&#x59CB;&#x8BA1;&#x7B97;&#x6392;&#x5E8F;&#xFF0C;&#x5373;lo&#x5230;start&#x90E8;&#x5206;&#x4E0D;&#x6392;&#x5E8F;
 */</span>
<span class="hljs-keyword">private</span> <span class="hljs-keyword">static</span> &lt;T&gt; <span class="hljs-function"><span class="hljs-keyword">void</span> <span class="hljs-title">binarySort</span><span class="hljs-params">(T[] a, <span class="hljs-keyword">int</span> lo, <span class="hljs-keyword">int</span> hi, <span class="hljs-keyword">int</span> start,
                                       Comparator&lt;? <span class="hljs-keyword">super</span> T&gt; c)</span> </span>{
        <span class="hljs-keyword">assert</span> lo &lt;= start &amp;&amp; start &lt;= hi;
        <span class="hljs-keyword">if</span> (start == lo)
            start++;
        <span class="hljs-keyword">for</span> ( ; start &lt; hi; start++) {
            <span class="hljs-comment">// &#x53D6;&#x51FA;&#x8D77;&#x59CB;&#x8BA1;&#x7B97;&#x4F4D;&#x7F6E;&#x7684;&#x5143;&#x7D20;&#xFF0C;&#x5E76;&#x8BB0;&#x5F55;&#x4E34;&#x65F6;&#x5BF9;&#x8C61;</span>
            T pivot = a[start];

            <span class="hljs-comment">/* 
             * &#x8BBE;&#x7F6E;&#x63D2;&#x5165;&#x7684;&#x8FB9;&#x754C;&#x4F4D;&#x7F6E;&#xFF08;&#x8303;&#x56F4;&#xFF09;
             * &#x5DE6;&#x8FB9;&#x754C;&#x6052;&#x5B9A;&#x4E3A;&#x9996;&#x4E2A;&#x5143;&#x7D20;&#x4F4D;&#x7F6E;
             * &#x53F3;&#x8FB9;&#x754C;&#x6839;&#x636E;&#x8D77;&#x59CB;&#x4F4D;&#x7F6E;&#x9012;&#x589E;
             * &#x4F8B; [1,2,3,4,5,6....]&#xFF0C;&#x6267;&#x884C;&#x7ED3;&#x679C;&#x4F9D;&#x6B21;&#x4E3A;&#xFF1A;[1,2,3]&#xFF0C;[1,2,3,4]&#xFF0C;[1,2,3,4,5]
             */</span>
            <span class="hljs-keyword">int</span> left = lo;
            <span class="hljs-keyword">int</span> right = start;
            <span class="hljs-keyword">assert</span> left &lt;= right;

            <span class="hljs-comment">/* 
             * &#x901A;&#x8FC7;n/2&#x5BF9;&#x6298;&#x65B9;&#x6CD5;&#xFF0C;&#x627E;&#x51FA;&#x8D77;&#x59CB;&#x4F4D;&#x7F6E;start&#x7684;&#x5143;&#x7D20;pivot&#xFF0C;&#x5728;[lo, start)&#x8303;&#x56F4;&#x4E2D;&#x7684;&#x63D2;&#x5165;&#x4F4D;&#x7F6E;left&#xFF0C;&#x9700;&#x8981;&#x6EE1;&#x8DB3;&#x4EE5;&#x4E0B;&#x6761;&#x4EF6;
             *   pivot &gt;= all in [lo, left).
             *   pivot &lt;  all in [right, start).
             * &#x4F8B;&#xFF1A;[1,3,5,7,9,4]&#xFF0C;pivot = 4&#xFF0C;&#x8FD0;&#x7B97;&#x7ED3;&#x679C;left = 2
             */</span>
            <span class="hljs-keyword">while</span> (left &lt; right) {
                <span class="hljs-comment">// &#x4E8C;&#x8FDB;&#x5236;&#x53F3;&#x79FB;&#x4E00;&#x4F4D;&#x83B7;&#x53D6;&#x4E2D;&#x95F4;&#x503C;&#xFF0C;&#x4F8B;&#xFF1A;1&gt;&gt;&gt;1=0  2&gt;&gt;&gt;1=1  3&gt;&gt;&gt;1=1  4&gt;&gt;&gt;1=2</span>
                <span class="hljs-comment">// &#x4E8C;&#x8FDB;&#x5236;&#x53F3;&#x79FB;&#x65B9;&#x6CD5;&#xFF0C;&#x6BD4;n/2&#x65B9;&#x6CD5;&#x5904;&#x7406;&#x66F4;&#x7B80;&#x5355;</span>
                <span class="hljs-keyword">int</span> mid = (left + right) &gt;&gt;&gt; <span class="hljs-number">1</span>;
                <span class="hljs-comment">// &#x53F3;&#x8FB9;&#x754C;&#x8D77;&#x59CB;&#x5143;&#x7D20;&#x4E0E;&#x4E2D;&#x95F4;&#x503C;&#x6BD4;&#x8F83;</span>
                <span class="hljs-comment">// &#x82E5;&#x964D;&#x5E8F;&#xFF0C;&#x5219;&#x53F3;&#x8FB9;&#x754C;&#x4E3A;&#x4E2D;&#x95F4;&#x503C;</span>
                <span class="hljs-keyword">if</span> (c.compare(pivot, a[mid]) &lt; <span class="hljs-number">0</span>)
                    right = mid;
                <span class="hljs-comment">// &#x82E5;&#x5347;&#x5E8F;&#xFF0C;&#x5219;&#x5DE6;&#x8FB9;&#x754C;&#x4E3A;&#x4E2D;&#x95F4;&#x4F4D;&#x7F6E; + 1</span>
                <span class="hljs-keyword">else</span>
                    left = mid + <span class="hljs-number">1</span>;
            }
            <span class="hljs-keyword">assert</span> left == right;

            <span class="hljs-comment">// &#x53D6;&#x5F97;&#x9700;&#x8981;&#x79FB;&#x4F4D;&#x5143;&#x7D20;&#x4E2A;&#x6570;&#xFF0C;The number of elements to move</span>
            <span class="hljs-keyword">int</span> n = start - left;
            <span class="hljs-comment">// &#x901A;&#x8FC7;System.arraycopy()&#x7F6E;&#x6362;&#x5143;&#x7D20;&#x4F4D;&#x7F6E;</span>
            <span class="hljs-keyword">switch</span> (n) {
                <span class="hljs-keyword">case</span> <span class="hljs-number">2</span>:  a[left + <span class="hljs-number">2</span>] = a[left + <span class="hljs-number">1</span>];
                <span class="hljs-keyword">case</span> <span class="hljs-number">1</span>:  a[left + <span class="hljs-number">1</span>] = a[left];
                         <span class="hljs-keyword">break</span>;
                <span class="hljs-keyword">default</span>: System.arraycopy(a, left, a, left + <span class="hljs-number">1</span>, n);
            }
            a[left] = pivot;
        }
    }
</code></pre>
<h3 id="c&#x5B9E;&#x73B0;&#x65B9;&#x6CD5;">C++&#x5B9E;&#x73B0;&#x65B9;&#x6CD5;</h3>
<pre><code class="lang-c++"><span class="hljs-function"><span class="hljs-keyword">void</span> <span class="hljs-title">BInsertSort</span><span class="hljs-params">(<span class="hljs-built_in">std</span>::<span class="hljs-built_in">deque</span>&lt;<span class="hljs-keyword">int</span>&gt;&amp; L)</span> </span>{
    <span class="hljs-keyword">for</span> (<span class="hljs-built_in">std</span>::<span class="hljs-keyword">size_t</span> i=<span class="hljs-number">2</span>; i&lt;L.size(); ++i) {
        L[<span class="hljs-number">0</span>] = L[i];
        <span class="hljs-keyword">int</span> low = <span class="hljs-number">1</span>, high = i<span class="hljs-number">-1</span>;

        <span class="hljs-comment">//&#x67E5;&#x627E;L[0]&#x7684;&#x4F4D;&#x7F6E;</span>
        <span class="hljs-keyword">while</span> (low &lt;= high) {
            <span class="hljs-keyword">int</span> m = (low + high)/<span class="hljs-number">2</span>;
            <span class="hljs-keyword">if</span> (L[<span class="hljs-number">0</span>] &lt; L[m]) high = m<span class="hljs-number">-1</span>;
            <span class="hljs-keyword">else</span> low = m+<span class="hljs-number">1</span>;
        }

        <span class="hljs-comment">//&#x628A;&#x8F83;&#x5927;&#x7684;&#x5411;&#x524D;&#x79FB;&#x52A8;</span>
        <span class="hljs-keyword">for</span> (<span class="hljs-keyword">int</span> j=i<span class="hljs-number">-1</span>; j&gt;=high+<span class="hljs-number">1</span>; --j) L[j+<span class="hljs-number">1</span>] = L[j];

        L[high+<span class="hljs-number">1</span>] = L[<span class="hljs-number">0</span>];
    }
}
</code></pre>
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